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Dissertations / Theses on the topic 'Several complex variables'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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1

Sadykov, Timour. "Hypergeometric functions in several complex variables." Doctoral thesis, Stockholm : Univ, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-198.

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2

Mernik, Luka. "Positivity Conditions in Several Complex Variables." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586522855649564.

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3

McKeown, Jesse. "Functional methods in analysis of several complex variables." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=101622.

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4

Clos, Timothy George. "Compactness of Hankel Operators with Continuous Symbols on Domains in ℂ²". University of Toledo / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1492445282323501.

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5

Önskog, Thomas. "Invariant Pseudodistances and Pseudometrics in Complex Analysis in Several Variables." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-51362.

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At present time invariant pseudodistances and pseudometrics pose an important tool in complex analysis in several variables. This thesis is mainly devoted to giving a thorough definition of these objects and in particular to Schwarz-Pick systems such as the Carathéodory and Kobayashi pseudodistances. Most basic properties, such as continuity and boundary behaviour, of the Carathéodory and Kobayashi pseudo-distances and pseudometrics are investigated. As an application of the theory, the thesis is concluded with a proof of the biholomorphic inequivalence between the unit ball and unit polydisc

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6

Gubkin, Steven A. "L² Mergelyan Theorems in Several Complex Variables." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1430998320.

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7

Bianchi, Fabrizio. "Motions of Julia sets and dynamical stability in several complex variables." Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30099/document.

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Dans cette thèse, on s'intéresse aux systèmes dynamiques holomorphes dépendants de paramètres. Notre objectif est de contribuer à une théorie de la stabilité et des bifurcations en plusieurs variables complexes, généralisant celle des applications rationnelles fondées sur les travaux de Mané, Sad, Sullivan et Lyubich. Pour une famille d'applications d'allure polynomiale, on prouve l'équivalence de plusieurs notions de stabilité, entre autres une version asymptotique du mouvement holomorphe des cycles répulsifs et d'un sous-ensemble de l'ensemble de Julia de mesure pleine. Cela peut etre consid

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8

Persson, Håkan. "On Stein Neighborhood Bases and the Nebenhülle." Thesis, Umeå University, Mathematics and Mathematical Statistics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-31704.

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<p>This thesis consists of three parts. The first part is a introduction to the theory of domains of holomorphy through holomorphic convexity. The second part gives a introduction to Stein neighborhood bases in <strong>C</strong><sup>n</sup><strong> </strong>and presents some minor results on the Nebenhülle of a compact set in <strong>C</strong><sup>n</sup>. The third and final part reviews some results on the existence of Stein neighborhood bases.</p><br><p>Denna uppsats består av tre delar. Den första delen introducerar holomorfiområden genom teorin för konvexitet med avseende på holomorfa

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9

Lan, Ma. "Abschätzungen von Lösungen der [delta bar]-Gleichung auf streng q-konvexen Mengen mit nicht glattem Rand." Bonn : [s.n.], 1989. http://catalog.hathitrust.org/api/volumes/oclc/20436892.html.

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10

Zhang, Yunxin, and 张云鑫. "On the admissible pairs of rational homogeneous manifolds of Picard number 1 and geometric structures defined by their varieties of minimal rational tangents." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/206439.

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In a series of works, Jun-Muk Hwang and Ngaiming Mok have developed a geometric theory of uniruled projective manifolds, especially those of Picard Number 1, relying on the study of Varieties of Minimal Rational Tangents (VMRT) from both the algebro-geometric and the G-structure perspectives. Based on this theory, Ngaiming Mok and Jaehyun Hong studied the standard embedding between two Rational Homogeneous Spaces (RHS) associated to long simple roots which are of different dimensions. In this thesis, I consider admissible pairs of RHS (X0, X) of Picard number 1 and locally closed complex subma

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11

Castillo, Andrew Z. "L^p and weighted L^2 estimates for barred derivatives in several complex variables." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1605863773624004.

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12

Nedic, Mitja. "Integral representations of Herglotz-Nevanlinna functions." Licentiate thesis, Stockholms universitet, Matematiska institutionen, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-138962.

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In this thesis, we study integral representations of Herglotz-Nevanlinna functions, that is to say holomorphic functions defined on a product of several copies of the complex upper half-plane having non-negative imaginary part. The manuscript is divided into three parts, beginning with a general introduction followed by two papers. In the general introduction, we familiarize ourselves with the concept of a Herglotz-Nevanlinna function as well as providing a comprehensive introduction into the theory of integral representations for this particular class of functions. Paper I treats exclusively

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13

Braun, H. T. F. "Model theory of holomorphic functions." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.401108.

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This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the exponential function should be `quasi-minimal'; that is, all its definable subsets should be countable or have countable complement. Our purpose is to study the geometry of this structure and other expansions by holomorphic functions of the complex field without having first to settle any number-theoretic problems, by treating all countable sets on an equal footing. We present axioms, modelled on those for a Zariski geometry, defining a non-first-order class of ``quasi-Zariski'' structures endowed wi

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14

Persson, Håkan. "Studies of the Boundary Behaviour of Functions Related to Partial Differential Equations and Several Complex Variables." Doctoral thesis, Uppsala universitet, Analys och sannolikhetsteori, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-251325.

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This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary behaviour of functions related to parabolic partial differential equations and several complex variables. Paper I concerns solutions to non-linear parabolic equations of linear growth. The main results include a backward Harnack inequality, and the Hölder continuity up to the boundary of quotients of non-negative solutions vanishing on the lateral boundary of an NTA cylinder. It is also shown that the Riesz measure associated with such solutions has the doubling property. Paper II is concerned w

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15

Hokamp, Samuel A. "Weak*-Closed Unitarily and Moebius Invariant Spaces of Bounded Measurable Functions on a Sphere." Bowling Green State University / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1562943150719334.

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16

Ravisankar, Sivaguru. "Lipschitz Properties of Harmonic and Holomorphic Functions." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1308299030.

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17

Xiao, Jian. "Positivité en géométrie kählérienne." Thesis, Université Grenoble Alpes (ComUE), 2016. http://www.theses.fr/2016GREAM027/document.

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L’objectif de cette thèse est d’étudier divers concepts de positivité en géométrie kählerienne. En particulier,pour une variété kählerienne compacte de dimension n, nous étudions la positivité des classes transcendantes de type (1,1) et (n-1, n-1) - ces classes comprennent donc en particulier les classesde diviseurs et les classes de courbes<br>The goal of this thesis is to study various positivity concepts in Kähler geometry. In particular, for a compact Kähler manifold of dimension n, we study the positivity of transcendental (1,1) and (n-1, n-1) classes. These objects include the divisor cl

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18

Oliver, Vendrell Roc. "Hankel operators on vector-valued Bergman spaces." Doctoral thesis, Universitat de Barcelona, 2017. http://hdl.handle.net/10803/471520.

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The main goal of this work is to study vector-valued Bergman spaces and to obtain the weak factorization of these spaces. In order to do that we need to study small Hankel operators with operator-valued holomorphic symbols. We also study the big Hankel operator acting on vector-valued Bergman spaces. In Chapter 1 we collect all the previous results and notations needed to follow the rest of the manuscript. More concretely, some of the topics covered in this chapter are the Bochner integral, the integral for vector-valued functions appearing first in Bochner; the Bergman metric, results of t

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19

Foo, Wei Guo. "Explicit Calculations of Siu’s Effective Termination of Kohn’s Algorithm and the Hachtroudi-Chern-Moser Tensors in CR Geometry." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS041/document.

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La première partie présente des calculs explicites de terminaison effective de l'algorithme de Kohn proposée par Siu. Dans la deuxième partie, nous étudions la géométrie des hypersurfaces réelles dans Cⁿ, et nous calculons des invariants explicites avec la méthode d'équivalences de Cartan pour déterminer les lieux CR-ombilics<br>The first part of the thesis consists of calculations around Siu's effective termination of Kohn's algorithm. The second part of the thesis studies the CR real hypersurfaces in complex spaces and calculates various explicit invariants using Cartan's equivalence method

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20

Karlsson, Jesper. "The Oka-Weil Theorem." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-138760.

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We give a proof of the Oka-Weil theorem which states that on compact, polynomially convex subsets of Cn, holomorphic functions can be approximated uniformly by holomorphic polynomials.<br>Vi ger ett bevis av Oka-Weil sats som säger att på kompakta och polynomkonvexa delmängder av Cn kan holomorfa funktioner approximeras likformigt med holomorfa polynom.

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21

Niime, Fabio Nosse [UNESP]. "Polinômios ortogonais em várias variáveis." Universidade Estadual Paulista (UNESP), 2011. http://hdl.handle.net/11449/86506.

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Made available in DSpace on 2014-06-11T19:22:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-02-24Bitstream added on 2014-06-13T20:28:32Z : No. of bitstreams: 1 niime_fn_me_sjrp.pdf: 457352 bytes, checksum: 318f01064234c003baca33cae4183d6d (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>O objetivo des trabalho é estudar os polinômios ortogonais em várias variáveis com relação a um funcional linear, L e suas propriedades análogas às dos polinômios ortogonais em uma variável, tais como: a relação de três termos, a relação de recorrência de três termos,

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22

Bayer-Császár, Eszter [Verfasser]. "Several proteins form variable RNA editing complexes in plant organelles / Eszter Bayer-Császár." Ulm : Universität Ulm, 2017. http://d-nb.info/1127139959/34.

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23

Vestin, Albin, and Gustav Strandberg. "Evaluation of Target Tracking Using Multiple Sensors and Non-Causal Algorithms." Thesis, Linköpings universitet, Reglerteknik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-160020.

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Today, the main research field for the automotive industry is to find solutions for active safety. In order to perceive the surrounding environment, tracking nearby traffic objects plays an important role. Validation of the tracking performance is often done in staged traffic scenarios, where additional sensors, mounted on the vehicles, are used to obtain their true positions and velocities. The difficulty of evaluating the tracking performance complicates its development. An alternative approach studied in this thesis, is to record sequences and use non-causal algorithms, such as smoothing, i

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24

Biswas, Chandan. "Analytic Continuation In Several Complex Variables." Thesis, 2012. http://etd.iisc.ernet.in/handle/2005/2331.

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We wish to study those domains in Cn,for n ≥ 2, the so-called domains of holomorphy, which are in some sense the maximal domains of existence of the holomorphic functions defined on them. We demonstrate that this study is radically different from that of domains in C by discussing some examples of special types of domains in Cn , n ≥2, such that every function holomorphic on them extends to strictly larger domains. Given a domain in Cn , n ≥ 2, we wish to construct the maximal domain of existence for the holomorphic functions defined on the given domain. This leads to Thullen’s construction o

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25

Lin, Tzong-Min, and 林宗民. "The Corona Problem of several complex variables." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/57466674018307293206.

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碩士<br>國立高雄師範大學<br>數學系<br>87<br>In this thesis we are mainly concerned with the solvability of the Corona problem for the most standard domain likes the unit polydisc. This paper is organized as follows. In Section 2,we shall give some definitions and the statements of our main theorems, Theorems 1-3 and the conjecture 4-5. In Section 3,we will prove some lemmas. In Section4, we apply the lemmas proved in Section 3 to prove Theorems1-3. In Section5 we make some remarks, where we introduce a decomposition domain .

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26

Voda, Mircea Iulian. "Loewner Theory in Several Complex Variables and Related Problems." Thesis, 2011. http://hdl.handle.net/1807/31964.

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The first part of the thesis deals with aspects of Loewner theory in several complex variables. First we show that a Loewner chain with minimal regularity assumptions (Df(0,t) of local bounded variation) satisfies an associated Loewner equation. Next we give a way of renormalizing a general Loewner chain so that it corresponds to the same increasing family of domains. To do this we will prove a generalization of the converse of Carathéodory's kernel convergence theorem. Next we address the problem of finding a Loewner chain solution to a given Loewner chain equation. The main result is a compl

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27

Jenkins, Adrian. "Equivalences of holomorphic mappings in one and several complex variables." 2005. http://catalog.hathitrust.org/api/volumes/oclc/65197626.html.

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28

Jacobson, Robert Lawrence. "Weighted Bergman Kernel Functions and the Lu Qi-keng Problem." Thesis, 2012. http://hdl.handle.net/1969.1/ETD-TAMU-2012-05-11068.

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The classical Lu Qi-keng Conjecture asks whether the Bergman kernel function for every domain is zero free. The answer is no, and several counterexamples exist in the literature. However, the more general Lu Qi-keng Problem, that of determining which domains in Cn have vanishing kernels, remains a difficult open problem in several complex variables. A challenge in studying the Lu Qi-keng Problem is that concrete formulas for kernels are generally difficult or impossible to compute. Our primary focus is on developing methods of computing concrete formulas in order to study the Lu Qi-keng Proble

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29

Kinzebulatov, Damir. "Geometric Analysis on Solutions of Some Differential Inequalities and within Restricted Classes of Holomorphic Functions." Thesis, 2012. http://hdl.handle.net/1807/32309.

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Pars 1 and 2 are devoted to study of solutions of certain differential inequalities. Namely, in Part 1 we show that a germ of an analytic set (real or complex) admits a Gagliardo-Nirenberg type inequality with a certain exponent s>=1. At a regular point s=1, and the inequality becomes classical. As our examples show, s can be strictly greater than 1 even for an isolated singularity. In Part 2 we prove the property of unique continuation for solutions of differential inequality |\Delta u|<=|Vu| for a large class of potentials V. This result can be applied to the problem of absence of posit

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30

(8882636), Michael R. Pilla. "Spectra of Composition Operators on the Unit Ball in Two Complex Variables." Thesis, 2020.

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Let <i>φ</i> be a self-map of <b>B</b><sub>2</sub>, the unit ball in <b>C</b><sup>2</sup>. We investigate the equation <i>C<sub>φ</sub>f</i>=<i>λf</i> where we define <i>C<sub>φ</sub>f </i>: -<i>f◦φ</i>, with <i>f a</i> function in the Drury Arves on Space. After imposing conditions to keep <i>C<sub>φ</sub></i> bounded and well-behaved, we solve the equation <i>C<sub>φ</sub>f - λf </i>and determine the spectrum <i>σ</i>(<i>C<sub>φ</sub></i>) in the case where there is no interior fixed point and boundary fixed point without multiplicity. We then investigate

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31

Coffman, Adam Nathaniel. "Enumeration and normal forms of singularities in Cauchy-Riemann structures /." 1997. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9800589.

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32

Wang, Dong. "Spiked models in Wishart ensemble /." 2008.

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33

(9132815), Kuang-Ru Wu. "Hermitian-Yang-Mills Metrics on Hilbert Bundles and in the Space of Kahler Potentials." Thesis, 2020.

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<div>The two main results in this thesis have a common point: Hermitian--Yang--Mills (HYM) metrics. In the first result, we address a Dirichlet problem for the HYM equations in bundles of infinite rank over Riemann surfaces. The solvability has been known since the work of Donaldson \cite{Donaldson92} and Coifman--Semmes \cite{CoifmanSemmes93}, but only for bundles of finite rank. So the novelty of our first result is to show how to deal with infinite rank bundles. The key is an a priori estimate obtained from special feature of the HYM equation.</div><div> </div><div> In the second result,

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34

Sarkar, Santanu. "Some Problems in Multivariable Operator Theory." Thesis, 2014. http://etd.iisc.ernet.in/handle/2005/2897.

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In this thesis we have investigated two diﬀerent types of problems in multivariable operator theory. The ﬁrst one deals with the defect sequence for contractive tuples and maximal con-tractive tuples. These condone deals with the wandering subspaces of the Bergman space and the Dirichlet space over the polydisc. These are described in thefollowing two sections. (I) The Defect Sequence for ContractiveTuples LetT=(T1,...,Td)bead-tuple of bounded linear operators on some Hilbert space H. We say that T is a row contraction, or, acontractive tuplei f the row operator (Pl refer the abstract pdf fil

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35

McBride, Matthew Scott. "D-bar and Dirac Type Operators on Classical and Quantum Domains." 2012. http://hdl.handle.net/1805/2931.

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Indiana University-Purdue University Indianapolis (IUPUI)<br>I study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the inverse or inverse modulo compact operators to these operators are computed. These inverses/parametrices are also shown to be bounded and are also shown to be compact, if possible. Also the index of some of the d-bar operators are computed when it doesn't have trivial index. Finally a certain type of limit statement can be said bet

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36

Irvine, Allison W. "Computational Analysis of Flow Cytometry Data." 2013. http://hdl.handle.net/1805/3367.

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Indiana University-Purdue University Indianapolis (IUPUI)<br>The objective of this thesis is to compare automated methods for performing analysis of flow cytometry data. Flow cytometry is an important and efficient tool for analyzing the characteristics of cells. It is used in several fields, including immunology, pathology, marine biology, and molecular biology. Flow cytometry measures light scatter from cells and fluorescent emission from dyes which are attached to cells. There are two main tasks that must be performed. The first is the adjustment of measured fluorescence from the cells to c

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37

(6858680), Lida Ahmadi. "Asymptotic Analysis of the kth Subword Complexity." Thesis, 2019.

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<div>The Subword Complexity of a character string refers to the number of distinct substrings of any length that occur as contiguous patterns in the string. The kth Subword Complexity in particular, refers to the number of distinct substrings of length k in a string of length n. In this work, we evaluate the expected value and the second factorial moment of the kth Subword Complexity for the binary strings over memory-less sources. We first take a combinatorial approach to derive a probability generating function for the number of occurrences of patterns in strings of finite length. This en

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